Create distorted striped material
I am sure if you asked google on this you would find fitting Materials. But you seamingly didn't and neither did I. So I made the following setup to be as parametric as possible, since you didn't make clear what you want to achieve.


There are those named fields that you can use to tweak the distortion and there is the color selector on the left on which you can specify the direction of the lines. You can also replace that color selector by a Combine XYZ Node to gain better access to the numbers of the normal vector. Hope this solution can satisfy your needs.

EDIT:
If you want to make the texture that you showed in your post, you just need to turn the distortion of the noise texture up. I pretty much got it to match your image.